Answer
$P$-value $\lt α$: null hypotheses is rejected.
There is significant evidence to conclude that more than 7.8% of working Americans have a travel time to work that is more than 60 minutes.
Work Step by Step
$H_0:~p=0.078$ versus $H_1:~p\gt0.078$
$np(1-p)=80\times0.078(1-0.078)=5.75328\lt10$
Test hypotheses with a small sample size:
$P$-value $=P(X\geq11)=1-P(X\lt11)=1-P(X\leq10)$
In order to find $P(X\leq10)$ use Excel: "=BINOMDIST(10;80;0.078;TRUE)"
$P$-value $=1-P(X\leq10)=1-0.9539=0.0461$
Since $P$-value $\lt α$, we reject the null hypotheses.
